8027200032 has 24 divisors (see below), whose sum is σ = 21071400336. Its totient is φ = 2675733312.

The previous prime is 8027200021. The next prime is 8027200039. The reversal of 8027200032 is 2300027208.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 8027199975 and 8027200011.

It is not an unprimeable number, because it can be changed into a prime (8027200039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41808238 + ... + 41808429.

It is an arithmetic number, because the mean of its divisors is an integer number (877975014).

Almost surely, 2^8027200032 is an apocalyptic number.

It is an amenable number.

8027200032 is an abundant number, since it is smaller than the sum of its proper divisors (13044200304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8027200032 is a wasteful number, since it uses less digits than its factorization.

8027200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83616680 (or 83616672 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 8027200032 is about 89594.6428755648. The cubic root of 8027200032 is about 2002.2641052798.

The spelling of 8027200032 in words is "eight billion, twenty-seven million, two hundred thousand, thirty-two".